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Woodruff, David – 1989
Previous methods for estimating the conditional standard error of measurement (CSEM) at specific score or ability levels are critically discussed, and a brief summary of prior empirical results is given. A new method is developed which avoids theoretical problems inherent in some prior methods, is easy to implement, and estimates not only a…
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Predictive Measurement
Peer reviewed Peer reviewed
Nicholls, Paul Travis – Journal of the American Society for Information Science, 1987
Describes and compares eight methods of estimating the parameters of the Zipf distribution. (CLB)
Descriptors: Comparative Analysis, Estimation (Mathematics), Mathematical Models, Predictive Measurement
Peer reviewed Peer reviewed
Anderson, Sue M.; Muchinsky, Paul M. – Educational and Psychological Measurement, 1991
Two important parameters of the general utility function--the standard deviation of job performance and predictor performance--were examined in terms of their sensitivity to departures from underlying mathematical assumptions. Integral calculus was used to assess the effects of statistical violations of the assumptions underlying these parameters.…
Descriptors: Cost Effectiveness, Estimation (Mathematics), Job Performance, Mathematical Models
Peer reviewed Peer reviewed
Mendoza, Jorge L.; And Others – Multivariate Behavioral Research, 1991
Using a Monte Carlo simulation, a bootstrap procedure was evaluated for setting a confidence interval on the unrestricted population correlation (rho) assuming various degrees of incomplete truncation on the predictor. Sample size was the most important factor in determining accuracy and stability. Sample size should be at least 50. (SLD)
Descriptors: Computer Simulation, Correlation, Estimation (Mathematics), Mathematical Models
Peer reviewed Peer reviewed
Molenaar, Peter C. M.; And Others – Psychometrika, 1992
The dynamic factor model proposed by P. C. Molenaar (1985) is exhibited, and a dynamic nonstationary factor model (DNFM) is constructed with latent factor series that have time-varying mean functions. The use of a DNFM is illustrated using data from a television viewing habits study. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Factor Analysis
Peer reviewed Peer reviewed
Ratcliff, Roger; And Others – Psychological Review, 1992
Four global memory models were evaluated in 3 recognition memory experiments with 30 college students. Experiments provide receiver operating characteristic (ROC) curves. Data give a clear idea of the behavior of signal and noise distributions in recognition memory. Ways in which results support revision of current models are discussed. (SLD)
Descriptors: College Students, Estimation (Mathematics), Higher Education, Mathematical Models
Kuo, Lynn; Cohen, Michael P. – 1993
Bayesian methods for estimating dose response curves in quantal bioassay are studied. A linearized multi-stage model is assumed for the shape of the curves. A Gibbs sampling approach with data augmentation is employed to compute the Bayes estimates. In addition, estimation of the "relative additional risk" and the "risk specific…
Descriptors: Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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Schmitt, Neal – 1982
A review of cross-validation shrinkage formulas is presented which focuses on the theoretical and practical problems in the use of various formulas. Practical guidelines for use of both formulas and empirical cross-validation are provided. A comparison of results using these formulas in a range of situations is then presented. The result of these…
Descriptors: Correlation, Estimation (Mathematics), Mathematical Formulas, Mathematical Models
Peer reviewed Peer reviewed
Kaplan, David – Multivariate Behavioral Research, 1988
The impact of misspecification on the estimation, testing, and improvement of structural equation models was assessed via a population study in which a prototypical latent variable model was misspecified. Results provide insights into the maximum likelihood estimator versus a limited two-stage least squares estimator in LISREL. (TJH)
Descriptors: Computer Simulation, Computer Software, Demography, Error of Measurement
Peer reviewed Peer reviewed
Lehmann, Donald R.; Gupta, Sunil – Applied Psychological Measurement, 1989
Path Analysis of Covariance Matrix (PACM) is described as a way to separately estimate measurement and structural models using standard least squares procedures. PACM was empirically compared to simultaneous maximum likelihood estimation and use of the LISREL computer program, and its advantages are identified. (SLD)
Descriptors: Estimation (Mathematics), Least Squares Statistics, Mathematical Models, Maximum Likelihood Statistics
Peer reviewed Peer reviewed
Woodruff, David – Journal of Educational Measurement, 1990
A method of estimating conditional standard error of measurement at specific score/ability levels is described that avoids theoretical problems identified for previous methods. The method focuses on variance of observed scores conditional on a fixed value of an observed parallel measurement, decomposing these variances into true and error parts.…
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Predictive Measurement
Peer reviewed Peer reviewed
Baker, Frank B. – Applied Psychological Measurement, 1988
The form of item log-likelihood surface was investigated under two-parameter and three-parameter logistic models. Results confirm that the LOGIST program procedures used to locate the maximum of the likelihood functions are consistent with the form of the item log-likelihood surface. (SLD)
Descriptors: Estimation (Mathematics), Factor Analysis, Graphs, Latent Trait Theory
Peer reviewed Peer reviewed
Chang, Hua-Hua; Stout, William – Psychometrika, 1993
The asymptotic posterior normality of latent variable distributions is established under very general and appropriate hypotheses, providing a probabilistic basis for assessing ability estimation/prediction accuracy in the long test case, as well as a first step in making the Dutch Identity conjecture rigorous. (SLD)
Descriptors: Ability, Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics)
Peer reviewed Peer reviewed
Raykov, Tenko – Applied Psychological Measurement, 1993
A general structural equation model for measuring residualized true change and studying patterns of true growth or decline is described. This approach allows consistent and efficient estimation of the degree of interrelationship between residualized change in a repeatedly assessed psychological construct and other variables. (SLD)
Descriptors: Change, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Wainer, Howard; Thissen, David – 1985
Using simulated item response data, the performance of several "robust" and conventional schemes for ability estimation was evaluated in conjunction with logistic item response theory models (one, two, and three parameter models). The simulated item response data were generated using a model that is more complex than are the usual…
Descriptors: Adaptive Testing, Adults, Computer Assisted Testing, Error of Measurement
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